Question

-10, 20, -40

Find the next two terms of the sequence.

Answer 1

Step-by-step explanation:

4 term. is 80. and 5. term. is 110.

Answer 2

Answer:

$\large\boxed{a_4=80}$

Step-by-step explanation:

To solve this problem, first you have to find the two terms of the geometric sequence.

Given:

-10, 20, and -40 (find two terms of geometric sequence.)

Solutions:

First, you have to compute by the general progression.

$\large\boxed{\textnormal{Geometric Sequence Formula}}$

$\displaystyle a_n=a_0*r^{n-1}$

Solve.

$\displaystyle \frac{20}{-10}=-2,\:\quad \frac{-40}{20}=-2$

When the ratio all the adjacent terms is the same and equal to.

$\displaystyle R=-2$

First element to the sequence.

$\displaystyle a_1=-10$

$\displaystyle a_n=a_1* r^{n-1}$

Also, the nth term are computed by.

$\displaystyle r=-2,a_n=-10(-2)^{n-1}$

Next term.

$\displaystyle a_4$

Solve.

$\displaystyle a_4=\boxed{a_4=80}$

$\large\boxed{a_4=80}$

Therefore, the correct answer is a₄=80.